where \(\Lambda \)  is a cutoff energy scale where new physics comes in or perturbation breaks down. These extend the requirements of tree-level vacuum stability on the couplings to any energy scale
below the cutoff scale. These conditions ensure a positive potential for large field values.
The large-field behavior of the potential is dominated by the quartic terms. With the relations given in Eq. (REF ), the quartic part of the
potential is given by [1]}
\(V_4=\frac{1}{8\mathcal {M}_{h}^2v^2}[(\mathcal {M}_{h}^2h^2+\lambda _mv^2s^2)^2+4\lambda ^2v^4s^4],\) 
